In the journal Mental Retardation, an article reported the results of a peer tutoring program to help mildly mentally retarded children learn to read. In the experiment, Form 2 of the Gates-MacGintie Reading Test was administered to both an experimental group and a control group after 6 weeks of instruction, during which the experimental group received peer tutoring and the control group did not. For the experimental group n1 = 30 children, the mean score on the vocabulary portion of the test was x1 = 368.4, with sample standard deviation s1 = 39.7. The average score on the vocabulary portion of the test for the n2 = 30 subjects in the control group was x2 = 349.0 with sample standard deviation s2 = 56.6.
What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Round your answer to three decimal places.)
(b) Find a 98% confidence interval for
(Round your answers to two decimal places.)
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